Modeling the Parasitic Filariasis Spread by Mosquito in Periodic Environment

Modeling the Parasitic Filariasis Spread by Mosquito in Periodic Environment

In this paper a mosquito-borne parasitic infection model in periodic environment is considered. Threshold parameter R0 is given by linear next infection operator, which determined the dynamic behaviors of system. We obtain that when R0<1, the disease-free periodic solution is globally asymptotica...

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Main Authors: Yan Cheng, Xiaoyun Wang, Qiuhui Pan, Mingfeng He
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Computational and Mathematical Methods in Medicine
Online Access:http://dx.doi.org/10.1155/2017/4567452
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spelling doaj-bcfd87d5ca564a3cb9e8f8db658d285a2020-11-24T23:03:43ZengHindawi LimitedComputational and Mathematical Methods in Medicine1748-670X1748-67182017-01-01201710.1155/2017/45674524567452Modeling the Parasitic Filariasis Spread by Mosquito in Periodic EnvironmentYan Cheng0Xiaoyun Wang1Qiuhui Pan2Mingfeng He3School of Mathematics, Taiyuan University of Technology, Taiyuan 030024, ChinaSchool of Mathematics, Taiyuan University of Technology, Taiyuan 030024, ChinaSchool of Innovation Experiment, Dalian University of Technology, Dalian 116024, ChinaSchool of Innovation Experiment, Dalian University of Technology, Dalian 116024, ChinaIn this paper a mosquito-borne parasitic infection model in periodic environment is considered. Threshold parameter R0 is given by linear next infection operator, which determined the dynamic behaviors of system. We obtain that when R0<1, the disease-free periodic solution is globally asymptotically stable and when R0>1 by Poincaré map we obtain that disease is uniformly persistent. Numerical simulations support the results and sensitivity analysis shows effects of parameters on R0, which provided references to seek optimal measures to control the transmission of lymphatic filariasis.http://dx.doi.org/10.1155/2017/4567452
collection DOAJ
language English
format Article
sources DOAJ
author Yan Cheng
Xiaoyun Wang
Qiuhui Pan
Mingfeng He
spellingShingle Yan Cheng
Xiaoyun Wang
Qiuhui Pan
Mingfeng He
Modeling the Parasitic Filariasis Spread by Mosquito in Periodic Environment
Computational and Mathematical Methods in Medicine
author_facet Yan Cheng
Xiaoyun Wang
Qiuhui Pan
Mingfeng He
author_sort Yan Cheng
title Modeling the Parasitic Filariasis Spread by Mosquito in Periodic Environment
title_short Modeling the Parasitic Filariasis Spread by Mosquito in Periodic Environment
title_full Modeling the Parasitic Filariasis Spread by Mosquito in Periodic Environment
title_fullStr Modeling the Parasitic Filariasis Spread by Mosquito in Periodic Environment
title_full_unstemmed Modeling the Parasitic Filariasis Spread by Mosquito in Periodic Environment
title_sort modeling the parasitic filariasis spread by mosquito in periodic environment
publisher Hindawi Limited
series Computational and Mathematical Methods in Medicine
issn 1748-670X
1748-6718
publishDate 2017-01-01
description In this paper a mosquito-borne parasitic infection model in periodic environment is considered. Threshold parameter R0 is given by linear next infection operator, which determined the dynamic behaviors of system. We obtain that when R0<1, the disease-free periodic solution is globally asymptotically stable and when R0>1 by Poincaré map we obtain that disease is uniformly persistent. Numerical simulations support the results and sensitivity analysis shows effects of parameters on R0, which provided references to seek optimal measures to control the transmission of lymphatic filariasis.
url http://dx.doi.org/10.1155/2017/4567452
work_keys_str_mv AT yancheng modelingtheparasiticfilariasisspreadbymosquitoinperiodicenvironment
AT xiaoyunwang modelingtheparasiticfilariasisspreadbymosquitoinperiodicenvironment
AT qiuhuipan modelingtheparasiticfilariasisspreadbymosquitoinperiodicenvironment
AT mingfenghe modelingtheparasiticfilariasisspreadbymosquitoinperiodicenvironment
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